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Finding the Third Proportional to 409,304 and 838,892

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Solution

The third proportional to 409,304 and 838,892 is: 1,719,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,304 : 838,892 = 838,892 : x
  2. Step 2: Convert to fraction form
    409,304/838,892 = 838,892/x
  3. Step 3: Cross multiply
    409,304x = 838,892 × 838,892
  4. Step 4: Simplify right side
    409,304x = 703,739,787,664
  5. Step 5: Solve for x
    x = 703,739,787,664/409,304
  6. Step 6: Final answer
    x = 1,719,357.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.